Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Khan, IlyasPublisher: search.filters.publisher.Elsevier

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  • Article
    Citation - WoS: 30
    Citation - Scopus: 44
    Lie Analysis, Conservation Laws and Travelling Wave Structures of Nonlinear Bogoyavlenskii-Kadomtsev Equation
    (Elsevier, 2020) Hussain, Amjad; Junaid-U-Rehman, M.; Khan, Ilyas; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Jhangeer, Adil
    In this paper, the Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator is reported. Henceforth, conjugacy classes of abelian algebra are used to find the similarity reductions, which convert the considered equation into ordinary differential equations (ODEs). Further, these ODEs are taken into consideration, and travelling wave structures are computed by applying different techniques. Moreover, the discussed model is discussed by means of nonlinear selfadjointness and conservation laws are derived for each Lie symmetry generator. For specific values of the physical parameters of the equation under discussion, the graphical behaviour of some solutions is depicted.
  • Article
    Citation - WoS: 39
    Citation - Scopus: 38
    Comparative Investigation on Mhd Nonlinear Radiative Flow Through a Moving Thin Needle Comprising Two Hybridized Aa7075 and Aa7072 Alloys Nanomaterials Through Binary Chemical Reaction With Activation Energy
    (Elsevier, 2020) Zaib, A.; Khan, Ilyas; Baleanu, Dumitru; Sherif, El-Sayed M.; Khan, Umair
    The intention of the current study is analyzing the significance of nonlinear radiation on magnetic field involving hybrid AA7075 and AA7072 alloys nanomaterials through thin needle. The scenario has been modeled mathematically by captivating the binary chemical reaction and activation energy. Similarity variables are deployed to change the system of PDE's into nonlinear ODE's and subsequently solved these equations through bvp4c solver. Influence of distinct material parameters on the velocity, concentration and temperature along with the correlated engineering features quantities such as drag force, heat and mass transfer rate are obtained and demonstrated via plots. The velocity of the liquid is declining function of magnetic field, while the temperature augments. In addition, obtained numerical results are contrasted through the available literature and appeared to be in admirable harmony. The current investigation shows the important features in solar hybrid alloy nano materials systems and aircraft technology. (C) 2020 The Authors. Published by Elsevier B.V.